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Finding the Third Proportional to 62,810 and 136,528

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Solution

The third proportional to 62,810 and 136,528 is: 296,766.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,810 : 136,528 = 136,528 : x
  2. Step 2: Convert to fraction form
    62,810/136,528 = 136,528/x
  3. Step 3: Cross multiply
    62,810x = 136,528 × 136,528
  4. Step 4: Simplify right side
    62,810x = 18,639,894,784
  5. Step 5: Solve for x
    x = 18,639,894,784/62,810
  6. Step 6: Final answer
    x = 296,766.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.